{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import linear_model\n",
    "from sklearn.datasets import make_gaussian_quantiles\n",
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征\n",
    "# 可以生成两类或多类数据\n",
    "x_data, y_data = make_gaussian_quantiles(n_samples=500, n_features=2,n_classes=2)\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic = linear_model.LogisticRegression()\n",
    "logistic.fit(x_data, y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "np.arange(y_min, y_max, 0.02))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.508\n"
     ]
    }
   ],
   "source": [
    "# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = logistic.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "print('score:',logistic.score(x_data,y_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义多项式回归,degree的值可以调节多项式的特征\n",
    "poly_reg = PolynomialFeatures(degree=5)\n",
    "# 特征处理\n",
    "x_poly = poly_reg.fit_transform(x_data)\n",
    "# 定义逻辑回归模型\n",
    "logistic = linear_model.LogisticRegression()\n",
    "# 训练模型\n",
    "logistic.fit(x_poly, y_data)\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "np.arange(y_min, y_max, 0.02))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.99\n"
     ]
    }
   ],
   "source": [
    "# 与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = logistic.predict(poly_reg.fit_transform(np.c_[xx.ravel(), yy.ravel()]))# ravel\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "print('score:',logistic.score(x_poly,y_data))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
